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Controller: Uadme PID Controller, PID Temperature Controller, Digital Temperature Controller REX-C100, with K-Type Thermocouple Temperature Sensor, AC 110V-240V 0-1300℃, for Electrical Energy Chemical Industry https://amzn.eu/d/flxMzIb
Thermocouple: sourcing map Thermocouple K Type, 0-600C M4 Screw Temperature Sensor Probe 1.6ft for 3D Printer https://amzn.eu/d/8P6QZ8P
You'll need a selection of female and male spade connectors, loop connectors and a crimp tool obviously, and suitable cable. Like I said, I utilised a 13a cable.
You can if you want look for a housing to hold it all but mines tucked away and quite like the cable tie approach so far.
Can you share the parts list and link if you haven’t already please.